Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
Answer:
.65
Step-by-step explanation:
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(2h – 3)(3h + 4) is the same thing as
2h(3h + 4) - 3(3h + 4)
6h^2 + 8h - 9h - 12
6h^2 - h - 12
Answer B.
Answer:
y=1 and x = 2
Step-by-step explanation:
Given equations are :
2x-2y = 2 ....(1)
5x+2y= 12 .....(2)
Adding equation (1) and (2),
2x+5x = 2+12
7x = 14
x = 2
Put the value of x in equation (!).
2(2)-2y = 2
4-2y=2
2=2y
y=1
So, the values of x and y are 2 and 1 respectively.
